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anonymous
 one year ago
Find the greatest 4 digits number which when divided by 18,24,30 and 36 leaves a remainder 17 (in each case).
anonymous
 one year ago
Find the greatest 4 digits number which when divided by 18,24,30 and 36 leaves a remainder 17 (in each case).

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amoodarya
 one year ago
Best ResponseYou've already chosen the best response.3a=18q+17 a=24k+17 a=30p+17 so 30a17 24a17 18a17 so [24,18,30]a17

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I need a way by which I can calculate answer to such question in 12 mins time. This type of questions appears in admission exam for MS(CS).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no offense but @amoodarya I got no clue what you did back there. A little explanation please ?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1that notation for the second one is 30 divides a 17 similarly 24 divides a17 and 18 divides 117

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Let \(a\) = required number Notice that \(a17\) is divisible by each of the given integers, therefore \(a17\) must also be divisible by their lcm, \(360\) : \[a17 = 360k\]

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.3[30,24,18]=[5.3.2, 2.2.2.3, 3.3.2]=2.2.2.3.3.5=\[2^3*3^2*5=360\\a17=360k\\a=360k+17\\a_\min=360*3+17=1080+17\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 and others thank you!

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1when did k =3 for the last line? just wondering. unless we have k = 3 because it's the lcm of 18,24,30, and 36.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Lol I think @amoodarya assumed k = 3 :P

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1:S there is always a reason to let k = 3. isn't it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I can't think of any reasons to do so : cause 3 isn't given in the question

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1the only thing I can think of is that 3 is the lcm of 18.24.30.36.. not to mention that's part of the 3 x table 3 x 6 =18 3 x 8 = 24 3 x 10 = 30 3 x 12 = 36 3 x 3 x 2 = 18 3 x 2 x 2 x 2 = 24 3 x 2 x 5 = 30 3 x 3 x 2 x 2 Each of them has at least 1 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@amoodarya it'll be less confusing if you just type down a few words explaining the problem like ganeshie8 did. Thanks

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.3\[a=360k+17 \ge 1000\\360k \ge 100017\\k \ge \frac{100017}{360}\\k \space is \space integer \\k \ge 3\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1where did you get the 1000 from?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0largest 4 digit number is 9999 Man Imma cry now seriously

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@amoodarya you're not helping sir rather you are making it more confusing and complex :

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1yeah this is how my adviser would do... just be like ok this this this the end.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0LOL I hate such kind of teachers >: Teacher's job is to explain the whole process....

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1yeah I got a B for absolutely knowing 5.5 out of 8 chapters in Passage to Advanced Mathematics book

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.3oh . sorry i had a little mistake i wrote it for smallest 4 digits so you do it for the greatest , like that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 can you make things simple its seriously frying my brain :

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1wow I wish my retired professor was on here. He was awesome.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1spoonfeeding is not good always, it would be more fun if you try and solve the problem on your own based on the given hints

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.3\[a \leq 9999\\360k+17 \leq 9999\\k \leq \frac{999917}{360}\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1well what if the person made so many attempts and then got fed up?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1where are the "many" attempts ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0^ yes that's what I am doing for last 1 hour :

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1k is less than or equal to 27.7222222222 something seems legit

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1"many" attempts? lol like using every theorem out there

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1teaching is not easy... there is no way for a teacher to know what the student has already tried right

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1showing off like what my professor did to me a while back doesn't help me understand either _

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1try this : teach me how to multiply 3*5

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1ummm let's see. it's like writing 3 5 times and adding them up

anonymous
 one year ago
Best ResponseYou've already chosen the best response.03*5 = 15 simple enough :O

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1how do you know i know addition ?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1omg! take 3 rocks that's 1 batch then 3 rocks 3 rocks 3 rocks 3 rocks... add them all up

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright I'll solve it myself .... no more arguments

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1where do i find rocks ? your explanation is confusing me

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1you find rocks outside!

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.3dw:1435484624755:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1or buy them or find them at a park or at your house

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1now that i don't want to buy rocks, why do i need rocks ? how are they related to multiplications

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OMG thats childish @ganeshie8 : @amoodarya 's work was confusing me because he took the question wrongly.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1don't want to buy rocks ! BORROW MARBLES FROM YOUR FRIEND!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm outta here seriously....

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1so i need to have a friend to understand multiplcations ?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1_! you have none.. draw circles on paper.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Okay enough, we're not getting anywhere. I hate math and you're the reason for that.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1wow... then you as a student fail then

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1*rolls eyes* why waste my time with gibberish? If you still don't understand it after so many tries, it becomes useless to the point that the only way to solve this issue to just fail the student and send it to summer school.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1same thing can repeat in summer school

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1then why should the student still be in school then? Have it kicked out of the system and force it to get a job.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1more or less, thats the story of most school dropout these days right one bad/annoying teacher is all it takes

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1not the teacher's fault really. It's the student. If they are not committed...don't bother... just do something productive with life and that's it.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1you(teacher) failed to teach me(3rd grade kid) how to multiply

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1_! No you failed yourself.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1more than that, you killed my confidence and love of math

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1and you have gotten really annoying after a while.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1annas and amoodarya got it right. It was just you !

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1aren't we role modeling anymore, you as a good teacher and me as a poor student ?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1KNOCK IT OFF ALREADY!

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1and it's role playing...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's a fault on both ends cause our teachers now a days are not as determined as they used to be in 90's and our students shows no seriousness in studies. Well it is kind of a fault of teachers, a good teacher always try to develop interest of his/her students in the subject. Our education system is faulty and teacher's only see teaching as a profession and nothing else.... Sad story!

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1geez... this is not helping annas at ALL! What started out as trying to clarify things turned into stupid stuff that is NONSENSE AND OFF TOPIC!

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1I agree annas, its always the fault of teacher.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1what about favoritism?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 I am not a 2 year old to be spoon feed I know maths very well... Only problem is I dont remember basic stuff cause of lack of practice. And I am doing this basic stuff just for a stupid test for admission in MS. I've an interview related to my field i.e. software engineering but to qualify for that I need to clear this stupid test... The only reason to ask this question...

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1that's it... @Michele_Laino Help :*(

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Favoritism is another issue in our education system... Teachers give marks for free to those students that they think are most favorite... It's a flaw of teacher AGAIN. I hate this current education system.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1i think we're done with the original main q ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh I solved the question on my own thank you @UsukiDoll answer I got was 9989. @ganeshie8 I didnt start all this discussion all I was asking is for some clarification.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.19989 is wrong are you still looking for clarification ? what part do you not understand in ammodarya's solution ?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1@annas I know a good example that happened at my university remembered that annoying professor I had for that Intro to Advanced Mathematics class? he gave me a B which was surprising because like I said I only mastered 5.5 out of 8 chapters. Fast forward to a year later... some girl had the same professor and ended up almost failing like a D Keep in mind that annoying professor happens to be my undergrad. adviser.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1\(a = 360k+17\) Is it hard to solve \(k\) that gives the maximum \(4\) digit number ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I was taking k = 27.7 now I took k = 27 and I got 9737

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1yw, the dicussion was not so fruitful but i enjoyed it thanks!
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